CALDERON-REPRODUCING FORMULA FOR THE CONTINUOUS WAVELET TRANSFORM RELATED TO THE WEINSTEIN OPERATOR

被引：0

作者：

Hleili, Khaled ^{[1
]}

Hleili, Manel ^{[2
]}

机构：

[1] Northern Border Univ, Fac Sci, Dept Math, Ar Ar, Saudi Arabia

[2] Univ Tunis El Manar, Fac Sci Tunis, Tunis, Tunisia

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 10卷 / 04期

关键词：

Weinstein operator; wavelet transform; inversion formulas; extremal functions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the continuous wavelet transform associated with the Weinstein operator and we prove for this transform a reproducing inversion formulas of Calderon's type. Next, we study the extremal functions associated to the continuous wavelet transform.

引用

页码：31 / 44

页数：14

共 49 条

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[18] Continuous Wavelet Transform and Uncertainty Principle Related to the Spherical Mean Operator
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[19] Continuous Wavelet Transform and Uncertainty Principle Related to the Spherical Mean Operator
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[20] Calderon's formula associated with a differential operator on (0, ∞) and inversion of the generalized Abel transform
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